What is the Greatest Common Factor of 51012 and 51024?

Greatest common factor (GCF) of 51012 and 51024 is 12.

GCF(51012,51024) = 12

We will now calculate the prime factors of 51012 and 51024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51012 and 51024.

How to find the GCF of 51012 and 51024?

We will first find the prime factorization of 51012 and 51024. After we will calculate the factors of 51012 and 51024 and find the biggest common factor number .

Step-1: Prime Factorization of 51012

Prime factors of 51012 are 2, 3, 13, 109. Prime factorization of 51012 in exponential form is:

51012 = 2² × 3² × 13¹ × 109¹

Step-2: Prime Factorization of 51024

Prime factors of 51024 are 2, 3, 1063. Prime factorization of 51024 in exponential form is:

51024 = 2⁴ × 3¹ × 1063¹

Step-3: Factors of 51012

List of positive integer factors of 51012 that divides 51012 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 109, 117, 156, 218, 234, 327, 436, 468, 654, 981, 1308, 1417, 1962, 2834, 3924, 4251, 5668, 8502, 12753, 17004, 25506

Step-4: Factors of 51024

List of positive integer factors of 51024 that divides 51012 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1063, 2126, 3189, 4252, 6378, 8504, 12756, 17008, 25512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51012 and 51024. The biggest common factor number is the GCF number.
So the greatest common factor 51012 and 51024 is 12.

Also check out the Least Common Multiple of 51012 and 51024